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Finding the Fourth Proportional to 1,911.37, 2,867.13 and 814.99

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Solution

The fourth proportional to 1,911.37, 2,867.13 and 814.99 is: 1,222.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,911.37 : 2,867.13 = 814.99 : x
  2. Step 2: Convert to fraction form
    1,911.37/2,867.13 = 814.99/x
  3. Step 3: Cross multiply
    1,911.37x = 2,867.13 × 814.99
  4. Step 4: Simplify right side
    1,911.37x = 2,336,682.28
  5. Step 5: Solve for x
    x = 2,336,682.28/1,911.37
  6. Step 6: Final answer
    x = 1,222.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.